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Mathematics

D-Index
55
Citations
26634
World Ranking
765
National Ranking
37

Overview

Holger Kantz is affiliated with the Max Planck Institute for the Physics of Complex Systems in Germany. Their research spans several interconnected scientific domains with a focus on complex systems, environmental science, and statistical physics.

Kantz has contributed extensively to the study of complex systems and time series analysis, which is a prominent theme across their work. Additional main research topics include climate variability and models, meteorological phenomena and simulations, ecosystem dynamics and resilience, stochastic dynamics and bifurcation, financial risk and volatility modeling, and diffusion and search dynamics.

Their publication record features contributions to numerous fields of study, particularly within environmental science. Subfields where Kantz has published markedly include global and planetary change, statistical and nonlinear physics, atmospheric science, economics and econometrics, and electrical and electronic engineering.

Frequent publication venues for Kantz's work include:

  • arXiv (Cornell University)
  • Physical Review E
  • Chaos An Interdisciplinary Journal of Nonlinear Science
  • Physical Review Research
  • New Journal of Physics

Their recent papers cover a range of topics relevant to fractional Brownian motion, electricity consumption dynamics, and power grid frequency behavior. Notable recent publications include:

  • "Time averaging and emerging nonergodicity upon resetting of fractional Brownian motion and heterogeneous diffusion processes" (2021, Physical Review E)
  • "Data-driven load profiles and the dynamics of residential electricity consumption" (2022, Nature Communications)
  • "Data-Driven Model of the Power-Grid Frequency Dynamics" (2020, IEEE Access)
  • "Stochastic properties of the frequency dynamics in real and synthetic power grids" (2020, Physical Review Research)
  • "On the Motion of Substance in a Channel of a Network: Extended Model and New Classes of Probability Distributions" (2020, Entropy)

Kantz has collaborated frequently with several researchers over multiple publications. Prominent coauthors include Ralf Metzler, Maryam Zamani, Philipp G. Meyer, Aleksei V. Chechkin, and E. Estevez-Rams.

Their multidisciplinary research addresses both theoretical and applied aspects across physics, environmental science, and engineering, with a special emphasis on the dynamics of complex systems in natural and technological contexts.

Best Publications

  • Nonlinear time series analysis

    Holger Kantz;Thomas Schreiber

  • Practical implementation of nonlinear time series methods: The TISEAN package.

    Rainer Hegger;Holger Kantz;Thomas Schreiber

  • A robust method to estimate the maximal Lyapunov exponent of a time series

    Holger Kantz

  • Analysing the information flow between financial time series . An improved estimator for transfer entropy

    R. Marschinski;H. Kantz

  • Repellers, semi-attractors, and long-lived chaotic transients

    H. Kantz;P. Grassberger

  • On noise reduction methods for chaotic data.

    Peter Grassberger;Rainer Hegger;Holger Kantz;Carsten Schaffrath

  • Extreme Events in Nature and Society

    Sergio Albeverio;Volker Jentsch;Holger Kantz

  • Nonlinear time-series analysis revisited

    Elizabeth Bradley;Holger Kantz

  • Identifying and Modeling Delay Feedback Systems.

    Rainer Hegger;Martin J. Bünner;Holger Kantz;Antonino Giaquinta

  • Nonlinear Analysis of Physiological Data

    Holger Kantz;J. Kurths;Gottfried Mayer-Kress

  • Recurrence time analysis, long-term correlations, and extreme events.

    Eduardo G. Altmann;Holger Kantz

  • Generating partitions for the dissipative Hénon map

    Peter Grassberger;Holger Kantz

  • Modified method of simplest equation and its application to nonlinear PDEs

    Nikolay K. Vitanov;Zlatinka I. Dimitrova;Holger Kantz

  • Indispensable finite time corrections for Fokker-Planck equations from time series data.

    Mario Ragwitz;Holger Kantz

  • Chaos or Noise - Difficulties of a Distinction

    M. Cencini;M. Falcioni;E. Olbrich;H. Kantz

  • Markov models from data by simple nonlinear time series predictors in delay embedding spaces.

    Mario Ragwitz;Holger Kantz

  • On the symbolic dynamics of the Henon map

    P Grassberger;H Kantz;U Moenig

  • Markov chain model for turbulent wind speed data

    Holger Kantz;Detlef Holstein;Mario Ragwitz;Nikolay K. Vitanov

  • Improved false nearest neighbor method to detect determinism in time series data.

    Rainer Hegger;Holger Kantz

  • Return interval distribution of extreme events and long-term memory.

    M. S. Santhanam;Holger Kantz

Frequent Co-Authors

Nikolay K. Vitanov
Nikolay K. Vitanov Bulgarian Academy of Sciences
Ralf Metzler
Ralf Metzler University of Potsdam
Peter Grassberger
Peter Grassberger Forschungszentrum Jülich
Jürgen Kurths
Jürgen Kurths Potsdam Institute for Climate Impact Research
Peter Hänggi
Peter Hänggi University of Augsburg
Igor M. Sokolov
Igor M. Sokolov Tufts University
Dirk Helbing
Dirk Helbing ETH Zurich
Janusz A. Hołyst
Janusz A. Hołyst Warsaw University of Technology
Celso Grebogi
Celso Grebogi University of Aberdeen
Christian Rödenbeck
Christian Rödenbeck Max Planck Institute for Biogeochemistry

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